The required explicit formula for the nth term is [tex]a_n = 24(1/2)^n[/tex] .
Given that,
The sequences 24,12,6..... To write an explicit formula for the nth term.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Given sequences is geometric progression 24, 12, 6
here, the first term [tex]a_1=24[/tex] and common ratio r = 12/24 = 1/2.
The required explicit formula can be given as,
[tex]a_n=a_1r^n[/tex]
[tex]a_n = 24(1/2)^n[/tex]
Thus, the required explicit formula for the nth term is [tex]a_n = 24(1/2)^n[/tex] .
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